directory D:\_jknuba_2024_end\Job_Olympus_2024\j_Origin_Olympus

# _j_MSC_Olympus_Job1.wxmx

kill(all);

load("stats")$

p:[10.735163, 11.441326, 11.361707 ,10.902565, 10.859867, 10.993440, 11.488790, 11.049705,
11.700912, 10.934182,  9.800266, 10.070933, 11.832881, 11.186524,  9.830553, 10.634115,
10.800838, 11.726200, 11.257555, 10.596311, 11.137083, 11.117580, 10.370772, 10.785315,
10.154686, 10.776117, 11.554072, 11.193384, 10.973221, 10.780141,  9.967299, 10.416577,
10.480040, 10.521945, 11.733794, 11.135568, 11.613315, 10.580999, 11.862697, 12.300101,
11.302115, 11.515168, 10.727143, 10.790299, 10.914594, 11.626693, 10.931735, 10.702132,
10.323996, 11.349600, 10.700817, 10.974794, 10.945194, 11.336812, 11.740718, 11.778233,
9.913615, 11.446550, 10.474325, 10.843243, 10.303362, 10.737720, 10.750404, 11.721627,
11.296506 ,11.845266, 10.339852, 11.559058, 10.246905, 10.953692, 11.219258, 10.758945,
11.094910, 10.683887, 10.547243, 11.049054, 11.390294, 10.509846, 11.372921, 11.516117,
10.661543, 10.081986, 10.671435, 10.734593, 10.598930, 11.787820, 10.505220 ,11.332032,
10.287553, 10.787096,  11.450462, 11.005844, 11.025501, 10.738071, 12.005468,
11.477734, 11.121910, 11.192320, 11.873250, 10.858305, 10.956758, 11.224084, 10.491280,
11.001350, 10.882899, 11.426858, 11.436107, 10.896239, 10.839437, 11.440707, 10.278782,
11.946208, 11.600544 ,11.135669, 11.657305, 11.004180, 10.420731, 10.892608, 10.287886,
10.619350 ,11.042745, 11.583272, 10.647557, 11.088866, 10.888444, 11.778226, 11.293906,
11.194746, 11.295984, 10.383614, 10.256778, 10.900543, 11.870654, 11.475858, 10.633205,
10.944351, 11.201343, 10.546328, 10.984059, 11.598495, 10.540235, 11.221263,  9.672577,
11.175895, 11.392901, 10.984088, 10.787785, 10.451189, 10.975158, 11.162761, 11.504746,
11.055887, 11.057665, 11.004098, 10.601283, 11.151146, 10.338938, 10.527573, 11.186648,
11.168518, 11.078780, 10.338418, 11.001034, 11.007145, 11.638764, 10.747713, 11.149445,
11.359229, 10.750739, 10.617082, 11.290227, 10.288796, 10.316696, 11.082002, 11.264218,
11.163963, 10.622406, 10.817780 ,11.116009, 11.365859, 10.819618, 11.278286, 10.996675,
10.128917, 11.097139, 10.414759, 10.986588, 10.549580, 10.698267, 11.145899, 10.791416,
9.932431, 10.772677,  9.858881, 11.606249, 11.485803, 10.571451, 10.746537 ,11.243540,
10.635700, 11.272729, 11.098580, 10.380266, 10.934320, 10.703957, 11.757020, 11.377185,
10.914031, 11.367373, 11.242049,  9.730850, 10.829348,  9.940216, 11.053967, 10.345068,
10.405171, 11.406528, 11.010255, 11.514846, 10.690641, 10.782138, 10.551907, 11.570571,
10.963350, 10.561098, 10.897610, 10.359729, 10.921653, 10.267286, 10.863204, 12.088830,
10.913255, 11.541147, 11.144643, 10.754459, 11.240273, 11.610348, 11.262464, 10.943005,
11.222354, 11.856104, 10.765747, 10.841017, 11.135260, 10.896885, 11.411433, 10.274181,
10.539119, 11.565631, 10.704984, 10.977566, 10.876265, 10.496447 ,10.431494, 10.896511,
10.701034, 10.032242, 10.710165, 11.130478, 10.843084, 10.982600, 11.354664, 10.314327,
11.170538, 11.507404, 11.420810, 10.263828, 11.167098, 11.187794, 11.242281, 10.881989,
11.238993, 10.561798, 10.468271, 11.552883, 10.602159, 11.016782, 10.600292, 10.341828,
10.747632, 11.207807, 11.140360 ,11.313380, 10.995404, 11.483815, 11.348386, 11.158059,
11.055149, 11.343593, 12.032060, 10.904012 ,11.235576, 10.917547, 11.650249, 10.597639,
10.665922, 10.870122,10.668126, 10.779092, 11.158683, 10.341532, 11.006154, 10.724934,
10.851156, 10.343409, 11.167969, 11.868052, 10.956263, 11.030416, 10.592205, 11.089705,
10.039322, 11.252163, 10.791548, 10.695508, 11.261717, 11.105514, 11.686567, 10.942733,
10.707629, 11.511118, 10.701797, 10.980990, 10.932649, 11.335276,  10.815003,
10.939353, 10.609057, 11.300813, 11.120819, 11.406047, 10.778163, 10.381111, 10.493309,
11.372209, 11.521897, 11.223403, 10.452474, 11.979212, 11.608447, 11.551188, 10.869869,
11.302589, 10.292556, 11.925817, 10.547036, 11.210473, 11.138685, 11.285724, 11.435661,
10.663734, 10.395217, 11.100626, 10.807186, 10.717668, 10.667939, 11.465753, 10.897281,
10.782706, 10.844405, 10.672770, 10.639926, 11.082141, 10.451361, 11.547958, 10.814646,
10.450838, 10.475184 ,10.777435, 10.331508,  9.923850, 11.213981, 11.553550, 10.408836,
11.384746, 10.436129, 11.240036, 10.719702, 10.352070, 10.559000, 10.608620, 11.418564,
10.360492, 10.129815 ,11.068500, 11.058798, 10.551486, 11.173769,  9.989037 ,10.508380,
11.751386, 11.646077, 10.067081, 10.620146, 11.490531, 10.648792, 10.138204, 10.209421,
10.799148, 10.336802 ,11.212215, 11.189719, 10.183339,10.577128 ,10.826240, 10.175430,
11.363237, 11.456071, 11.628691 ,10.412785, 11.060725, 10.273947, 10.459440, 10.754731,
11.364714, 11.866048, 10.789078, 10.664333, 10.849675, 10.665530, 11.010408, 11.456701,
10.461422, 10.513307, 10.719797, 11.225119, 11.367164, 11.074162 ,11.188824, 11.085430,
11.604669, 10.616042, 11.330914, 10.990433, 11.170369, 11.705762, 11.696623, 10.860317,
11.316169, 10.356028, 10.495122, 10.320801, 10.455183, 11.801252  ,9.989701, 11.754740,
11.119090, 11.404459,  11.446191, 11.084301, 11.505415,  9.633334, 11.464131,
11.553728, 11.486282, 10.322402, 11.137397, 11.266046, 11.813062 ,10.903496, 11.038707,
12.039100, 10.824938, 11.215742, 10.697082, 11.159470, 10.864844, 11.597457, 10.842932,
9.642869, 11.364991, 10.724153, 11.460179, 10.808949, 10.740645, 10.998301, 10.903461,
11.576531, 10.921531,  9.881224, 11.528878, 10.814045, 11.252411, 11.265190, 10.610715,
10.938168, 10.718333, 11.380592, 10.440963, 10.553548, 10.498944, 10.709603, 10.849030,
10.929008, 10.406829, 12.047275, 12.044439, 10.621881, 11.854693, 10.216953, 10.121774,
10.934632, 10.663228, 12.337110, 11.710748, 10.897528, 10.703571, 10.854501, 10.480428,
11.476207, 11.938031, 11.076184, 10.545087, 10.933022, 11.712203, 10.762830,11.623572,
10.530726, 10.835964, 10.615012, 11.396831, 10.284916, 11.423054,  11.294310,
10.654246, 11.839315, 11.746797, 10.223492, 10.748900, 10.689022, 10.546090, 11.294200,
10.143085, 11.064345, 10.848917,  9.878271, 10.254344, 10.961207, 11.117584, 11.141412,
10.660348, 11.460603, 10.878511, 11.856628, 11.145391, 11.319228, 11.384048, 10.556208,
10.360103, 11.258149, 10.984501, 10.543364, 10.467144, 10.913666, 10.742035, 11.287528,
11.413284, 10.419279, 10.519242, 10.549373, 11.261719, 11.698901, 11.098466, 11.468676,
10.847804, 11.912098, 10.999774, 11.720257, 11.373090, 10.699628, 10.981002, 11.037718,
11.712649, 12.035387, 10.585428, 10.449930, 11.101949, 10.927553, 11.362764, 10.550515,
10.514934, 10.786040, 10.886452, 10.917904, 10.990178, 11.258388 ,11.616731, 10.983958,
10.332257, 10.942340, 10.765547, 10.919137,  9.703805, 10.651918, 11.832031, 11.052401,
10.421092, 10.579816, 10.414489, 11.544071, 11.381402,  9.654163, 12.385504, 10.774963,
10.669202, 11.718322, 11.576338, 10.695204, 11.514281, 10.751500, 10.953547, 10.670503,
10.808489, 11.106883, 11.214440, 10.797047, 11.305553, 12.169023, 10.712054, 10.855360,
10.407372, 11.140109, 10.858600, 11.214366, 11.683640, 11.135465, 10.633989, 11.351877,
11.057167, 11.859812, 11.545759, 10.939589, 11.126121, 11.864861, 11.063316, 11.338830,
10.382234, 10.049620, 10.179723, 12.074510, 10.976813, 10.951866, 11.359301 ,11.651954,
10.818791, 10.823653, 11.270778, 10.817612, 10.976794, 10.783865, 11.096735,11.332715,
11.072035, 11.164223 ,11.141688, 11.085395, 11.101911, 11.926881, 10.762072, 11.067591,
11.001136, 10.681031, 10.217203, 11.115603, 10.498126, 10.500993, 10.617594, 10.615611,
10.681058, 10.665236, 10.513216, 10.489505, 11.301740, 10.422187, 11.529669 ,11.057009,
10.449741, 10.480119, 11.551403, 11.855562, 11.142536, 10.730081, 11.118857, 11.350182,
11.383460, 11.117851, 10.196364, 10.660730, 11.216513, 11.057925, 10.838810 ,10.500913,
11.080245, 12.161948, 10.776371, 10.311571 ,10.325857, 10.864720, 11.412378, 11.049514,
11.683484, 11.046642, 10.558227, 10.364234, 11.654452, 10.728041, 11.580828,  9.954838,
11.110899, 10.874148, 11.628129, 11.042047, 11.367863 ,11.244987, 10.963097, 11.869559,
10.184913, 11.833602, 10.601756, 11.568189, 10.354960, 10.439903, 11.453109, 11.020075,
10.882459, 11.254732,  9.725203, 11.350123, 11.272063,  9.909668, 11.062600, 10.648944,
11.462129, 10.436472, 11.155383, 11.465634, 11.303251, 10.651858, 11.161291, 11.046416,
11.410736, 10.676631, 10.824254, 10.967822, 10.517315, 10.221226, 10.445903, 10.336445,
11.886169, 10.456898, 11.303230,  9.922031, 11.243462,  9.645149, 10.834075, 10.453523,
11.625933, 11.806310,  11.094070, 10.822189, 10.554401, 11.976573, 11.641656,
11.534159, 11.086080,  10.905351, 10.722716, 11.836752, 10.470161, 12.003013,
10.923069, 10.885452, 10.674664, 10.710126, 10.611715, 10.264758, 11.022540, 11.167001,
9.935787, 10.737813, 11.110074, 11.272703, 10.023606, 10.793415, 10.827954, 11.309641,
11.341384, 10.687285, 11.246875, 11.112417,  11.310650, 10.857665, 10.469203,
10.646606, 11.617941, 11.657228, 11.387881, 11.063790, 11.516290, 11.098729, 11.612396,
10.243326, 10.559973, 10.199832 , 10.908475 , 11.402572, 10.915399, 11.557096, 11.057359,
11.212821, 10.966127, 10.676251, 10.928196, 10.474553, 11.086288, 10.309674, 10.766667,
12.004281, 11.526934,  9.881659, 10.738512, 11.201611, 11.658229, 10.868327, 11.126499,
10.657983, 11.803341, 10.909922, 10.482991, 10.366251, 10.825443, 10.445033, 10.845092,
11.138267, 10.723730, 10.953551, 10.873247, 11.218989, 11.014470, 10.814622, 10.300803,
11.202258, 11.352205, 11.058535, 12.233691, 11.045757, 11.048252, 10.884073 ,11.136162,
11.401505, 10.973725, 10.633835, 10.807844, 11.207825, 10.786980, 11.775571, 10.467445,
10.924431, 11.422381, 11.104675, 10.869664 ,10.775698, 11.409328, 11.314403, 11.001386,
10.840540, 10.188204, 11.530167, 10.883874, 11.262262, 11.085485, 11.037466, 10.686947,
10.440937,  11.850269, 10.903154, 10.715946, 11.263722, 11.076225, 10.425650,
11.482862, 11.250227, 11.115931, 11.539702, 11.068186, 11.119218, 10.734337, 11.748896,
11.197683, 10.582216, 10.810091, 10.702138, 10.584949, 11.144981, 10.846450, 10.304348,
10.538153, 11.265421, 10.208336, 10.761849, 11.066464, 11.435734, 11.143363, 11.716793,
10.381280, 10.982241, 11.243643, 10.341457, 11.114990, 10.240647, 11.100021, 11.333464,
11.344969, 11.710721, 10.450582, 10.533728, 10.493605, 10.935091, 10.898341, 11.538503,
10.877369, 11.005260, 11.396695, 11.566538, 10.223088, 10.859992, 11.520660, 10.245736,
10.495179, 10.669599, 11.124721, 11.489077, 11.195587, 10.939948, 10.325366, 11.211601,
11.302305, 12.010475, 11.817775, 11.279876, 11.253195,  9.942904, 11.783001, 11.026141,
11.762820, 10.793477, 10.773971, 10.508871, 11.071885, 10.997541, 11.567901, 11.393313,
11.424385, 10.932573, 10.598798, 10.849359, 10.803467, 10.698967, 11.293122, 12.352908,
10.945713, 11.323834, 10.750225, 10.572231, 11.119130, 10.623569, 11.039122, 10.722091,
11.752158, 11.411453,  9.939456, 11.920903, 10.266986, 10.150997, 11.274061, 10.946832,
11.013534, 10.424763, 11.594311, 11.226287, 10.672113, 11.090694, 10.373572, 11.017966,
11.633314, 11.559944, 10.610883, 12.140367, 11.623158, 11.832900, 11.344722, 10.78007]$

lmax(p);

lmin(p);

histogram ( p, nclasses = 50, title = "Histogram", xlabel = "Values", ylabel = "Count of values", fill_color = green , fill_density = 0.6)$;

Завантаження статистичного пакету

load("stats")$

Визначення середнього

mean(p);

Визначення медіани

median(p);

Визначення дисперсії

var(p);

var1(p);

Розрахунок стандартного відхилення

std(p);

std1(p);

Вихначення базових статистик

test_mean(p, mean=10.974259499999999);

# Відповідь:

Інтервал в який попадає 95% вимірів із тисячі для даної виборки

10.94794560875595< х < 11.008800447695664.
Аналіз гістограми 
Форма гістограми для нормально розподіленої випадкової величини має належну форму. 

n:length(p);

p[1];p[992];

S_mean:0;

for i:1 thru n step 1 do (S_mean:S_mean+p[i])$

T_mean:S_mean/length(p);mean(p);

S_var1:0;

for i:1 thru n step 1 do (S_var1:S_var1+(mean(p)-p[i])^2)$

S_var1;

T_var1:S_var1/(n-1);

T_var:S_var1/(n);

t:[a,b,c,d];

var(t);var1(t);

std(p);std1(p);std(t);std1(t);

 pt:standardize (p)$

pt[1];

p[1];mean(p);p[1]-mean(p);

p_sort:sort (p, 'orderlessp);

# ORIGINAL

t:[10.735163,11.441326,11.361707,10.902565,10.859867,10.993440,11.488790,11.049705,11.700912,10.934182,9.800266,10.070933,11.832881,11.186524,9.830553,10.634115,10.800838,11.726200,11.257555,10.596311,11.137083,11.117580,10.370772,10.785315,10.154686,10.776117,11.554072,11.193384,10.973221,10.780141,9.967299,10.416577,10.480040,10.521945,11.733794,11.135568,11.613315,10.580999,11.862697,12.300101,11.302115,11.515168,10.727143,10.790299,10.914594,11.626693,10.931735,10.702132,10.323996,11.349600,10.700817,10.974794,10.945194,11.336812,11.740718,11.778233,9.913615,11.446550,10.474325,10.843243,10.303362,10.737720,10.750404,11.721627,11.296506,11.845266,10.339852,11.559058,10.246905,10.953692,11.219258,10.758945,11.094910,10.683887,10.547243,11.049054,11.390294,10.509846,11.372921,11.516117,10.661543,10.081986,10.671435,10.734593,10.598930,11.787820,10.505220,11.332032,10.287553,10.787096,14.682996,11.450462,11.005844,11.025501,10.738071,12.005468,11.477734,11.121910,11.192320,11.873250,10.858305,10.956758,11.224084,10.491280,11.001350,10.882899,11.426858,11.436107,10.896239,10.839437,11.440707,10.278782,11.946208,11.600544,11.135669,11.657305,11.004180,10.420731,10.892608,10.287886,10.619350,11.042745,11.583272,10.647557,11.088866,10.888444,11.778226,11.293906,11.194746,11.295984,10.383614,10.256778,10.900543,11.870654,11.475858,10.633205,10.944351,11.201343,10.546328,10.984059,11.598495,10.540235,11.221263,9.672577,11.175895,11.392901,10.984088,10.787785,10.451189,10.975158,11.162761,11.504746,11.055887,11.057665,11.004098,10.601283,11.151146,10.338938,10.527573,11.186648,11.168518,11.078780,10.338418,11.001034,11.007145,11.638764,10.747713,11.149445,11.359229,10.750739,10.617082,11.290227,10.288796,10.316696,11.082002,11.264218,11.163963,10.622406,10.817780,11.116009,11.365859,10.819618,11.278286,10.996675,10.128917,11.097139,10.414759,10.986588,10.549580,10.698267,11.145899,10.791416,9.932431,10.772677,9.858881,11.606249,11.485803,10.571451,10.746537,11.243540,10.635700,11.272729,11.098580,10.380266,10.934320,10.703957,11.757020,11.377185,10.914031,11.367373,11.242049,9.730850,10.829348,9.940216,11.053967,10.345068,10.405171,11.406528,11.010255,11.514846,10.690641,10.782138,10.551907,11.570571,10.963350,10.561098,10.897610,10.359729,10.921653,10.267286,10.863204,12.088830,10.913255,11.541147,11.144643,10.754459,11.240273,11.610348,11.262464,10.943005,11.222354,11.856104,10.765747,10.841017,11.135260,10.896885,11.411433,10.274181,10.539119,11.565631,10.704984,10.977566,10.876265,10.496447,10.431494,10.896511,10.701034,10.032242,10.710165,11.130478,10.843084,10.982600,11.354664,10.314327,11.170538,11.507404,11.420810,10.263828,11.167098,11.187794,11.242281,10.881989,11.238993,10.561798,10.468271,11.552883,10.602159,11.016782,10.600292,10.341828,10.747632,11.207807,11.140360,11.313380,10.995404,11.483815,11.348386,11.158059,11.055149,11.343593,12.032060,10.904012,11.235576,10.917547,11.650249,10.597639,10.665922,10.870122,10.668126,10.779092,11.158683,10.341532,11.006154,10.724934,10.851156,10.343409,11.167969,11.868052,10.956263,11.030416,10.592205,11.089705,10.039322,11.252163,10.791548,10.695508,11.261717,11.105514,11.686567,10.942733,10.707629,11.511118,10.701797,10.980990,10.932649,11.335276,13.562949,10.815003,10.939353,10.609057,11.300813,11.120819,11.406047,10.778163,10.381111,10.493309,11.372209,11.521897,11.223403,10.452474,11.979212,11.608447,11.551188,10.869869,11.302589,10.292556,11.925817,10.547036,11.210473,11.138685,11.285724,11.435661,10.663734,10.395217,11.100626,10.807186,10.717668,10.667939,11.465753,10.897281,10.782706,10.844405,10.672770,10.639926,11.082141,10.451361,11.547958,10.814646,10.450838,10.475184,10.777435,10.331508,9.923850,11.213981,11.553550,10.408836,11.384746,10.436129,11.240036,10.719702,10.352070,10.559000,10.608620,11.418564,10.360492,10.129815,11.068500,11.058798,10.551486,11.173769,9.989037,10.508380,11.751386,11.646077,10.067081,10.620146,11.490531,10.648792,10.138204,10.209421,10.799148,10.336802,11.212215,11.189719,10.183339,10.577128,10.826240,10.175430,11.363237,11.456071,11.628691,10.412785,11.060725,10.273947,10.459440,10.754731,11.364714,11.866048,10.789078,10.664333,10.849675,10.665530,11.010408,11.456701,10.461422,10.513307,10.719797,11.225119,11.367164,11.074162,11.188824,11.085430,11.604669,10.616042,11.330914,10.990433,11.170369,11.705762,11.696623,10.860317,11.316169,10.356028,10.495122,10.320801,10.455183,11.801252,9.989701,11.754740,11.119090,11.404459,12.414607,11.446191,11.084301,11.505415,9.633334,11.464131,11.553728,11.486282,10.322402,11.137397,11.266046,11.813062,10.903496,11.038707,12.039100,10.824938,11.215742,10.697082,11.159470,10.864844,11.597457,10.842932,9.642869,11.364991,10.724153,11.460179,10.808949,10.740645,10.998301,10.903461,11.576531,10.921531,9.881224,11.528878,10.814045,11.252411,11.265190,10.610715,10.938168,10.718333,11.380592,10.440963,10.553548,10.498944,10.709603,10.849030,10.929008,10.406829,12.047275,12.044439,10.621881,11.854693,10.216953,10.121774,10.934632,10.663228,12.337110,11.710748,10.897528,10.703571,10.854501,10.480428,11.476207,11.938031,11.076184,10.545087,10.933022,11.712203,10.762830,11.623572,10.530726,10.835964,10.615012,11.396831,10.284916,11.423054,12.520281,11.294310,10.654246,11.839315,11.746797,10.223492,10.748900,10.689022,10.546090,11.294200,10.143085,11.064345,10.848917,9.878271,10.254344,10.961207,11.117584,11.141412,10.660348,11.460603,10.878511,11.856628,11.145391,11.319228,11.384048,10.556208,10.360103,11.258149,10.984501,10.543364,10.467144,10.913666,10.742035,11.287528,11.413284,10.419279,10.519242,10.549373,11.261719,11.698901,11.098466,11.468676,10.847804,11.912098,10.999774,11.720257,11.373090,10.699628,10.981002,11.037718,11.712649,12.035387,10.585428,10.449930,11.101949,10.927553,11.362764,10.550515,10.514934,10.786040,10.886452,10.917904,10.990178,11.258388,11.616731,10.983958,10.332257,10.942340,10.765547,10.919137,9.703805,10.651918,11.832031,11.052401,10.421092,10.579816,10.414489,11.544071,11.381402,9.654163,12.385504,10.774963,10.669202,11.718322,11.576338,10.695204,11.514281,10.751500,10.953547,10.670503,10.808489,11.106883,11.214440,10.797047,11.305553,12.169023,10.712054,10.855360,10.407372,11.140109,10.858600,11.214366,11.683640,11.135465,10.633989,11.351877,11.057167,11.859812,11.545759,10.939589,11.126121,11.864861,11.063316,11.338830,10.382234,10.049620,10.179723,12.074510,10.976813,10.951866,11.359301,11.651954,10.818791,10.823653,11.270778,10.817612,10.976794,10.783865,11.096735,11.332715,11.072035,11.164223,11.141688,11.085395,11.101911,11.926881,10.762072,11.067591,11.001136,10.681031,10.217203,11.115603,10.498126,10.500993,10.617594,10.615611,10.681058,10.665236,10.513216,10.489505,11.301740,10.422187,11.529669,11.057009,10.449741,10.480119,11.551403,11.855562,11.142536,10.730081,11.118857,11.350182,11.383460,11.117851,10.196364,10.660730,11.216513,11.057925,10.838810,10.500913,11.080245,12.161948,10.776371,10.311571,10.325857,10.864720,11.412378,11.049514,11.683484,11.046642,10.558227,10.364234,11.654452,10.728041,11.580828,9.954838,11.110899,10.874148,11.628129,11.042047,11.367863,11.244987,10.963097,11.869559,10.184913,11.833602,10.601756,11.568189,10.354960,10.439903,11.453109,11.020075,10.882459,11.254732,9.725203,11.350123,11.272063,9.909668,11.062600,10.648944,11.462129,10.436472,11.155383,11.465634,11.303251,10.651858,11.161291,11.046416,11.410736,10.676631,10.824254,10.967822,10.517315,10.221226,10.445903,10.336445,11.886169,10.456898,11.303230,9.922031,11.243462,9.645149,10.834075,10.453523,11.625933,11.806310,0.977724,11.094070,10.822189,10.554401,11.976573,11.641656,11.534159,11.086080,12.584544,10.905351,10.722716,11.836752,10.470161,12.003013,10.923069,10.885452,10.674664,10.710126,10.611715,10.264758,11.022540,11.167001,9.935787,10.737813,11.110074,11.272703,10.023606,10.793415,10.827954,11.309641,11.341384,10.687285,11.246875,11.112417,0.913139,11.310650,10.857665,10.469203,10.646606,11.617941,11.657228,11.387881,11.063790,11.516290,11.098729,11.612396,10.243326,10.559973,10.199832,10.908475,11.402572,10.915399,11.557096,11.057359,11.212821,10.966127,10.676251,10.928196,10.474553,11.086288,10.309674,10.766667,12.004281,11.526934,9.881659,10.738512,11.201611,11.658229,10.868327,11.126499,10.657983,11.803341,10.909922,10.482991,10.366251,10.825443,10.445033,10.845092,11.138267,10.723730,10.953551,10.873247,11.218989,11.014470,10.814622,10.300803,11.202258,11.352205,11.058535,12.233691,11.045757,11.048252,10.884073,11.136162,11.401505,10.973725,10.633835,10.807844,11.207825,10.786980,11.775571,10.467445,10.924431,11.422381,11.104675,10.869664,10.775698,11.409328,11.314403,11.001386,10.840540,10.188204,11.530167,10.883874,11.262262,11.085485,11.037466,10.686947,10.440937,6.175175,11.850269,10.903154,10.715946,11.263722,11.076225,10.425650,11.482862,11.250227,11.115931,11.539702,11.068186,11.119218,10.734337,11.748896,11.197683,10.582216,10.810091,10.702138,10.584949,11.144981,10.846450,10.304348,10.538153,11.265421,10.208336,10.761849,11.066464,11.435734,11.143363,11.716793,10.381280,10.982241,11.243643,10.341457,11.114990,10.240647,11.100021,11.333464,11.344969,11.710721,10.450582,10.533728,10.493605,10.935091,10.898341,11.538503,10.877369,11.005260,11.396695,11.566538,10.223088,10.859992,11.520660,10.245736,10.495179,10.669599,11.124721,11.489077,11.195587,10.939948,10.325366,11.211601,11.302305,12.010475,11.817775,11.279876,11.253195,9.942904,11.783001,11.026141,11.762820,10.793477,10.773971,10.508871,11.071885,10.997541,11.567901,11.393313,11.424385,10.932573,10.598798,10.849359,10.803467,10.698967,11.293122,12.352908,10.945713,11.323834,10.750225,10.572231,11.119130,10.623569,11.039122,10.722091,11.752158,11.411453,9.939456,11.920903,10.266986,10.150997,11.274061,10.946832,11.013534,10.424763,11.594311,11.226287,10.672113,11.090694,10.373572,11.017966,11.633314,11.559944,10.610883,12.140367,11.623158,11.832900,11.344722,10.78007]$

t_sort:sort (t, 'orderlessp);

t_sort[1];t_sort[2];t_sort[3];t_sort[4];

t_len:length(t);

t_sort[1000];t_sort[999];t_sort[998];t_sort[997];t_sort[996];t_sort[995];t_sort[994];

load ("descriptive")$

histogram (
           t,
           nclasses     = 70,
           title        = "pi digits",
           xlabel       = "digits",
           ylabel       = "Absolute frequency",
           fill_color   = black,
           fill_density = 0.9)$

range(t);

histogram (
           p,
           nclasses     = 70,
           title        = "pi digits",
           xlabel       = "digits",
           ylabel       = "Absolute frequency",
           fill_color   = blue,
           fill_density = 0.9)$